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arXiv · 2303.12781

Drell-Yan lepton-pair production: $q_T$ resummation at approximate N$^4$LL+N$^4$LO accuracy

Stefano Camarda·Leandro Cieri·Giancarlo Ferrera
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Abstract

We consider Drell-Yan lepton pairs produced in hadronic collisions. We present high-accuracy QCD predictions for the transverse-momentum ($q_T$) distribution and fiducial cross sections in the small $q_T$ region. We resum to all perturbative orders the logarithmically enhanced contributions up to the next-to-next-to-next-to-next-to-leading logarithmic (N$^4$LL) accuracy and we include the hard-virtual coefficient at the next-to-next-to-next-to-leading order (N$^3$LO) (i.e. $\mathcal{O}(α_S^3)$) with an approximation of the N$^4$LO coefficients. The massive axial-vector and vector contributions up to three loops have also been consistently included. The resummed partonic cross section is convoluted with approximate N$^3$LO parton distribution functions. We show numerical results at LHC energies of resummed $q_T$ distributions for $Z/γ^*, W^\pm$ production and decay, including the $W^\pm$ and $Z/γ^*$ ratio, estimating the corresponding uncertainties from missing higher orders corrections and from incomplete or missing perturbative information coefficients at N$^4$LL and N$^4$LO. Our resummed calculation has been encoded in the public numerical program DYTurbo.

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Stefano Camarda, Leandro Cieri, Giancarlo Ferrera. 2023-03-22. Drell-Yan lepton-pair production: $q_T$ resummation at approximate N$^4$LL+N$^4$LO accuracy. https://arxiv.org/abs/2303.12781

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